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Finding the Third Proportional to 603,384 and 894,639

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Solution

The third proportional to 603,384 and 894,639 is: 1,326,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,384 : 894,639 = 894,639 : x
  2. Step 2: Convert to fraction form
    603,384/894,639 = 894,639/x
  3. Step 3: Cross multiply
    603,384x = 894,639 × 894,639
  4. Step 4: Simplify right side
    603,384x = 800,378,940,321
  5. Step 5: Solve for x
    x = 800,378,940,321/603,384
  6. Step 6: Final answer
    x = 1,326,483.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.